Consider the following market game: there are two firms in an industry firm1 and firm 2. Firm 1 first chooses the quantity of its production and then firm 2 observing q1 will choose q2.
Here are the cost functions for these firms: C1(q1) = 10q1 + 100
C2(q2) = 5q2 + 150
Demand curve is given by P=1000-Q where Q is the total quantity produced in the market. What would be the output of each of these firms? Which firm will produce more? Why?